The size, S, of a tumor (in cubic millimeters) is given by S=2^t, where t is the number of months since the tumor was discovered. Give units with your answers.
(a) What is the total change in the size of the tumor during the first 9 months?
Answer: The total change is
and its units =.
(b) What is the average rate of change in the size of the tumor during the first 9 months?
Answer: The average rate of change is
,
and its units =.
(c) Use an interval of 0.001 to approximate the rate of change at which the tumor is growing at t=9.
Answer: The rate is
,
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